What are the local extrema, if any, of #f (x) =x/(-12x+2#? Calculus Graphing with the First Derivative Identifying Turning Points (Local Extrema) for a Function 1 Answer Sonnhard Jun 21, 2018 #f'(x)=2/(-12x+2)^2 ne0# so no extrema Explanation: By the Quotient rule we get #f'(x)=(-12x+2-x(-12))/(-12x+2)^2# #f'(x)=2/(-12x+2)^2# Answer link Related questions How do you find the x coordinates of the turning points of the function? How do you find the turning points of a cubic function? How many turning points can a cubic function have? How do you find the coordinates of the local extrema of the function? How do you find the local extrema of a function? How many local extrema can a cubic function have? How do I find the maximum and minimum values of the function #f(x) = x - 2 sin (x)# on the... If #f(x)=(x^2+36)/(2x), 1 <=x<=12#, at what point is f(x) at a minimum? How do you find the maximum of #f(x) = 2sin(x^2)#? How do you find a local minimum of a graph using the first derivative? See all questions in Identifying Turning Points (Local Extrema) for a Function Impact of this question 1092 views around the world You can reuse this answer Creative Commons License